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Simplifying 8(4 + -2a) = 7(4 + -3a) (4 * 8 + -2a * 8) = 7(4 + -3a) (32 + -16a) = 7(4 + -3a) 32 + -16a = (4 * 7 + -3a * 7) 32 + -16a = (28 + -21a) Solving 32 + -16a = 28 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 32 + -16a + 21a = 28 + -21a + 21a Combine like terms: -16a + 21a = 5a 32 + 5a = 28 + -21a + 21a Combine like terms: -21a + 21a = 0 32 + 5a = 28 + 0 32 + 5a = 28 Add '-32' to each side of the equation. 32 + -32 + 5a = 28 + -32 Combine like terms: 32 + -32 = 0 0 + 5a = 28 + -32 5a = 28 + -32 Combine like terms: 28 + -32 = -4 5a = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8
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